14 citations · 47 across the 42 of their papers we have counts for
49 papers
Heat content and spectrum for subordinated sub-Laplacians
Maria Gordina, Liangbing Luo, Andrea Pinamonti +1
We study heat content and spectral properties of subordinated sub-Laplacians on arbitrary Carnot groups. We consider restrictions of such operators to bounded open sets with zero D…
Free Bakry--Émery Calculus
Ajay Chandra, Maria Gordina, Martin Peev
We prove a free probabilistic Bakry--Émery criterion for logarithmic Sobolev inequalities and hypercontractivity. Our approach relies on a noncommutative version of the carré du ch…
Semiclassical limit of Polyakov-Liouville measure and Q-Curvature Uniformization on even-dimensional manifolds
Maria Gordina, Eva Kopfer, Karl-Theodor Sturm
We study the semiclassical limit of the Polyakov-Liouville measure , which is a non-Gaussian measure on $H^{-\eps}(M)$ that has recently been extended from Riemann…
Logarithmic Sobolev inequalities on infinite-dimensional reduced Heisenberg groups
Maria Gordina, Liangbing Luo
We construct a family of infinite-dimensional reduced Heisenberg groups which can be viewed as infinite-dimensional homogeneous spaces. Such a space is an analogue of finite-dimens…
Spectral theory for Lévy and Lévy-Ornstein-Uhlenbeck semigroups on step 2 Carnot groups
Maria Gordina, Rohan Sarkar
We consider non-local perturbations of sub-Laplacians on a step Carnot group . The perturbations are by translation-invariant non-local operators acting along the ve…
Geodesics on Grushin spaces
Michael Albert, Samuël Borza, Maria Gordina
We consider higher-dimensional generalizations of the -Grushin plane, focusing on the problem of classification of geodesics that minimize length, also known as optimal synthesi…